Yield Fetilizer Water 201 100 1000 325 200 1000 124 300 1000 129 400 1000 344 500 1000 193 100 2000 369 200 2000 210 300 2000 306 400 2000 297 500 2000 339 100 3000 334 200 3000 273 300 3000 347 400 3000 331 500 3000 221 100 4000 396 200 4000 304 300 4000 381 400 4000 316 500 4000 286 100 5000 293 200 5000 355 300 5000 441 400 5000 321 500 5000 377 100 6000 392 200 6000 361 300 6000 432 400 6000 464 500 6000 above is the excel data. please solve the excel part with formulas and explanation, thank

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Yield Fetilizer Water
201 100 1000
325 200 1000
124 300 1000
129 400 1000
344 500 1000
193 100 2000
369 200 2000
210 300 2000
306 400 2000
297 500 2000
339 100 3000
334 200 3000
273 300 3000
347 400 3000
331 500 3000
221 100 4000
396 200 4000
304 300 4000
381 400 4000
316 500 4000
286 100 5000
293 200 5000
355 300 5000
441 400 5000
321 500 5000
377 100 6000
392 200 6000
361 300 6000
432 400 6000
464 500 6000

above is the excel data. please solve the excel part with formulas and explanation, thanks

The agronomist believed that the amount of rainfall as well as the amount of fertilizer used would
affect the crop yield. She did the experiment in the following way. Thirty greenhouses were rented.
In each, the amount of fertilizer and the amount of water were varied. At the end of the growing
season, the amount of corn was recorded. Use a = 0.05
a) Determine the sample regression line and interpret the coefficients.
b) Do these data allow us to infer that there is a linear relationship between the amount of fertilizer
and the crop yield?
c) Do these data allow us to infer that there is a linear relationship between the amount of water and
the crop yield?
d) What can you say about the fit of the multiple regression model?
e) Is it reasonable to believe that the error variable is normally distributed with constant variance
(Support your answer)?
Transcribed Image Text:The agronomist believed that the amount of rainfall as well as the amount of fertilizer used would affect the crop yield. She did the experiment in the following way. Thirty greenhouses were rented. In each, the amount of fertilizer and the amount of water were varied. At the end of the growing season, the amount of corn was recorded. Use a = 0.05 a) Determine the sample regression line and interpret the coefficients. b) Do these data allow us to infer that there is a linear relationship between the amount of fertilizer and the crop yield? c) Do these data allow us to infer that there is a linear relationship between the amount of water and the crop yield? d) What can you say about the fit of the multiple regression model? e) Is it reasonable to believe that the error variable is normally distributed with constant variance (Support your answer)?
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Follow-up Question
Yield Fetilizer Water
201 100 1000
325 200 1000
124 300 1000
129 400 1000
344 500 1000
193 100 2000
369 200 2000
210 300 2000
306 400 2000
297 500 2000
339 100 3000
334 200 3000
273 300 3000
347 400 3000
331 500 3000
221 100 4000
396 200 4000
304 300 4000
381 400 4000
316 500 4000
286 100 5000
293 200 5000
355 300 5000
441 400 5000
321 500 5000
377 100 6000
392 200 6000
361 300 6000
432 400 6000
464 500 6000

above is the excel data. please solve the excel part with formulas and explanation and solve part (d) and (e) only, thanks

 
The agronomist believed that the amount of rainfall as well as the amount of fertilizer used would
affect the crop yield. She did the experiment in the following way. Thirty greenhouses were rented.
In each, the amount of fertilizer and the amount of water were varied. At the end of the growing
season, the amount of corn was recorded. Use a = 0.05
a) Determine the sample regression line and interpret the coefficients.
b) Do these data allow us to infer that there is a linear relationship between the amount of fertilizer
and the crop yield?
c) Do these data allow us to infer that there is a linear relationship between the amount of water and
the crop yield?
d) What can you say about the fit of the multiple regression model?
e) Is it reasonable to believe that the error variable is normally distributed with constant variance
(Support your answer)?
Transcribed Image Text:The agronomist believed that the amount of rainfall as well as the amount of fertilizer used would affect the crop yield. She did the experiment in the following way. Thirty greenhouses were rented. In each, the amount of fertilizer and the amount of water were varied. At the end of the growing season, the amount of corn was recorded. Use a = 0.05 a) Determine the sample regression line and interpret the coefficients. b) Do these data allow us to infer that there is a linear relationship between the amount of fertilizer and the crop yield? c) Do these data allow us to infer that there is a linear relationship between the amount of water and the crop yield? d) What can you say about the fit of the multiple regression model? e) Is it reasonable to believe that the error variable is normally distributed with constant variance (Support your answer)?
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